An analysis of physics-based optical flow

Bo Wang, Zemin Cai, Lixin Shen, Tianshu Liu

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

A variational solution of the physics-based optical flow equation is studied for extraction of high-resolution velocity fields from flow visualization images. The solution to preserve discontinuities in a fluid velocity field is mathematically justified. The uniqueness of the solution and the convergence of a successive approximation sequence are proven. A numerical algorithm is developed and examined through numerical experiments.

Original languageEnglish (US)
Pages (from-to)62-80
Number of pages19
JournalJournal of Computational and Applied Mathematics
Volume276
DOIs
StatePublished - Mar 1 2015

Keywords

  • BV space
  • Flow visualization
  • Physics-based optical flow
  • Variational method
  • Velocimetry
  • Γ-convergence

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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